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Finding the Fourth Proportional to 109,959.93, 164,859.17 and 35,036.96

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Solution

The fourth proportional to 109,959.93, 164,859.17 and 35,036.96 is: 52,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959.93 : 164,859.17 = 35,036.96 : x
  2. Step 2: Convert to fraction form
    109,959.93/164,859.17 = 35,036.96/x
  3. Step 3: Cross multiply
    109,959.93x = 164,859.17 × 35,036.96
  4. Step 4: Simplify right side
    109,959.93x = 5,776,163,145.44
  5. Step 5: Solve for x
    x = 5,776,163,145.44/109,959.93
  6. Step 6: Final answer
    x = 52,529.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.